Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A train slows down uniformly from 11 m/s to a stop in 20 s. How far does it travel in that time? Find s.

v₀ = 11 m/sv = 0 m/st = 20 s

s = m

2.Easy

A car moving at 16 m/s speeds up with a constant acceleration of 1 m/s² for 3 s. Find its final speed v.

v₀ = 16 m/sa = 1 m/s²t = 3 s

v = m/s

3.Medium

A driver moving at 120 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 7 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/ht_r = 0.5 sa = −7 m/s²

d = m

4.Medium

A driver moving at 50 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 50 km/ht_r = 1.5 sa = −8 m/s²

d = m

5.Hard

A ball is thrown straight up at 11 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 11 m/sh₀ = 40 mg = 9.81 m/s²

t = s

6.Hard

Ball A is dropped from rest from a height of 55 m. At the same instant ball B is thrown straight up from the ground directly below at 24 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 55 mv_0B = 24 m/sg = 9.81 m/s²

t = s

Answer key

1. s = 110 m
2. v = 19 m/s
3. d = 96.03 m
4. d = 32.89 m
5. t = 4.189 s
6. t = 2.292 s

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